Scalar (Dot) Product: Component Form (a·b = sum of products of corresponding components)

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a·b = sum of products of corresponding components

What each symbol means

SymbolWhat it stands for
a_i,b_iComponents of a and b along same orthonormal basis

When to use this

î,ĵ,k̂ orthonormal. Not valid in arbitrary non-orthogonal basis without metric tensor.